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1,000,313

1,000,313 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,000,313 (one million three hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4379.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
3,130,001
Square (n²)
1,000,626,097,969
Cube (n³)
1,000,939,293,937,664,297
Divisor count
2
σ(n) — sum of divisors
1,000,314
φ(n) — Euler's totient
1,000,312

Primality

1,000,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1000313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,000,313)
1 × 1000313
First multiples
1,000,313 · 2,000,626 (double) · 3,000,939 · 4,001,252 · 5,001,565 · 6,001,878 · 7,002,191 · 8,002,504 · 9,002,817 · 10,003,130

Sums & aliquot sequence

As a sum of two squares: 373² + 928²
As consecutive integers: 500,156 + 500,157

Continued fraction of √n

√1,000,313 = [1000; (6, 2, 1, 1, 3, 1, 1, 17, 1, 3, 1, 3, 2, 1, 1, 1, 4, 3, 1, 4, 2, 5, 1, 2, …)]

Representations

In words
one million three hundred thirteen
Ordinal
1000313th
Binary
11110100001101111001
Octal
3641571
Hexadecimal
0xF4379
Base64
D0N5
One's complement
4,293,966,982 (32-bit)
Scientific notation
1.000313 × 10⁶
As a duration
1,000,313 s = 11 days, 13 hours, 51 minutes, 53 seconds
In other bases
ternary (3) 1212211011122
quaternary (4) 3310031321
quinary (5) 224002223
senary (6) 33235025
septenary (7) 11334236
nonary (9) 1784148
undecimal (11) 623606
duodecimal (12) 402a75
tridecimal (13) 290402
tetradecimal (14) 1c078d
pentadecimal (15) 14b5c8

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百萬零三百一十三
Chinese (financial)
壹佰萬零參佰壹拾參
In other modern scripts
Eastern Arabic ١٠٠٠٣١٣ Devanagari १०००३१३ Bengali ১০০০৩১৩ Tamil ௧௦௦௦௩௧௩ Thai ๑๐๐๐๓๑๓ Tibetan ༡༠༠༠༣༡༣ Khmer ១០០០៣១៣ Lao ໑໐໐໐໓໑໓ Burmese ၁၀၀၀၃၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F4379
RGB(15, 67, 121)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.121.

Address
0.15.67.121
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.67.121

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,000,313 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1000313 first appears in π at position 854 of the decimal expansion (the 854ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.